This let us make the lightest weight high modulus material.

这让我们能够制造出重最轻的高模材料。

The higher Young’s modulus is, for a certain material, the less ELASTIC it is.

对于某种材料， 杨氏模越高， 弹性越小。

This is mathematically equivalent to B to the XY modulus M.

这在数学上等同于 B 与 XY 模数 M。

The coefficient of subgrade modulus is improved to incorporate vertical bearing soil-spring.

提高了路基模系数，以纳入垂直支座土壤弹簧。

The higher Young's modulus is, for a certain material, the less ELASTIC it is.

杨氏模越高 对于给定的材料，其弹性会降低。

The higher its shear modulus, the less the object will deform.

随着剪切模的增， 件的变形能力降低了。

Ht denotes the depth of the tunnel axis to ground surface, Es denotes the ground elastic modulus.

Ht 表示隧道轴到地表的深度，Es 表示地层弹性模。

It's easy to increase the elastic  modulus by adding rigid particles, but what's harder is stopping stiff  rubber cracking under repeated stress.

通过添刚性颗粒来增弹性模很容易，但更难的是阻止刚性橡胶在重复应力下开裂。

The weighted average of the elastic modulus (Es) and the Poisson's ratio (vs) are taken as 35 MPa and 0.27, respectively.

弹性模 （Es） 和泊松比 （vs） 的权平均值分别为 35 MPa 和 0.27。

E denotes Young's modulus of the segmental ring, I is theareamomentofinertiaofthetunnelcross-section, G is the shear modulus, A is the tunnel cross-sectional area.

E 表示节段环的杨氏模，I 是隧道横截面的惯性面积矩，G 是剪切模，A 是隧道横截面积。

Consequently, this paper recommends a simplified approach to calculate the coefficient of subgrade modulus (k), as shown in Equation (25).

因此，本文推荐了一种简化的方法来计算路基模系数 （k），如公式 （25） 所示。

That’s why engineers use something called Young’s modulus.

这就是为什么工程师使用一种叫做杨氏模的东西。

That's why engineers use something called Young's modulus.

所以工程师使用了一个不同的东西，叫做： 杨氏模。

This material property is known  as a high elastic modulus - while stretchier rubber would have a low modulus.

这种材料特性被称为高弹性模，而弹性橡胶则具有低模。

This solution performs well in evaluating the coefficient of subgrade modulus (k) at any buried depth, particularly for relatively shallowly buried shield tunnels.

该解决方案在评估任何埋深处的路基模系数 （k） 方面表现良好，特别是对于相对较浅埋设的盾构隧道。

Finally, some materials are more resistant to changes in volume -- and that stiffness is measured by the bulk modulus, represented by a capital-B.

最后，一些材料更能抵抗体积的变化——这种刚度是通过体积模来衡的，用大写字母 B 表示。

The only differences are that the original length, area, and change in length represent different parts of the object, and that we use a different modulus.

唯一的区别是原始长度、面积和长度的变化代表物体的不同部分，并且我们使用了不同的模数。

This indicates that the Vesic foundation reaction modulus expression indeed underestimates the relative stiffness of the tunnel soil and thus overestimates the tunnel settlement.

这表明 Vesic 地基反作用模表达式确实低估了隧道土体的相对刚度，从而高估了隧道沉降。

This means taking one number, the base, to the power of another number, the exponent, and taking the remainder when dividing by a third number, the modulus.

这意味着取一个数（底数）的另一个数（指数）的次方，并在除以第三个数（模数）时取余数。

First, there's a set of public values – the base and the modulus, that, like our public paint color, everyone gets to know... even the bad guys!

首先，有一组公共值——基数和模数，就像我们公开的油漆颜色一样，每个人都会知道… … 即使是坏人！